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2 years ago

If A : B = 4 : 5 and B : C = 3 : 2, find A : B : C.

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

12 : 15 : 10

Step-by-step explanation:

Let A = 4x, the B = 5x

Let B = 3y, then C = 2y

B = 5x = 3y, so y = (5/3)x

Let x = 3t, so y = 5t

Then A = 4x = 4(3t) = 12t

B = 5x = 5(3t) = 15t

C = 2y = 2(5t) = 10t

so A : B : C = 12t : 15t : 10t = 12 : 15 : 10

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Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions

Pachacha [2.7K]

Answer:

$132\ in^{2}$ is closest to the total surface area of the box

Step-by-step explanation:

we know that

The surface area of the box is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

we have

$L=7\frac{3}{4}\ in=\frac{7*4+3}{4}=\frac{31}{4}\ in$

$W=3\frac{1}{4}\ in=\frac{3*4+1}{4}=\frac{13}{4}\ in$

$H=3\frac{7}{8}\ in=\frac{3*8+7}{8}=\frac{31}{8}\ in$

Find the area of the base B

$B=LW$

$B=(\frac{31}{4})(\frac{13}{4})=\frac{403}{16}\ in^{2}$

Find the perimeter of the base P

$P=2(L+W)$

$P=2(\frac{31}{4}+\frac{13}{4}))$

$P=2(\frac{44}{4})=22\ in$

Find the surface area

$SA=2(\frac{403}{16})+22(\frac{31}{8})$

$SA=(\frac{403}{8})+(\frac{682}{8})$

$SA=\frac{1,085}{8}=135.625\ in^{2}$

6 0

3 years ago

Help! Brainliest, thx!

sashaice [31]

The Y intercept is five

5 0

3 years ago

What is the distance between the points H(-5,9) and J(1,6)?

Ahat [919]

Answer:The answer would be b

Step-by-step explanation:

8 0

3 years ago

What is f if the equation is -3/4f=5/4?

Lilit [14]

Answer:

Exact Form:

f=-5/3

Decimal Form:

f= -1.6

Mixed Number form:

f= -1 2/3

Step-by-step explanation:

Solve for f by simplifying both sides of the equation , then isolating the variable .

Exact Form:

f=-5/3

Decimal Form:

f= -1.6

Mixed Number form:

f= -1 2/3

8 0

3 years ago

The Sequence of -2,-14,-26,-38

icang [17]

Answer:

-12

Step-by-step explanation:

Since we can subtract 12 from -2 and get -14, we might try subtracting 12.

5 0

3 years ago